Deutsche Asset Management [LOGO]
                                             A Member of the Deutsche Bank Group






Chief Executive Officer
Section 906 Certification under Sarbanes Oxley Act





I, Richard T. Hale, certify that:

1.   I have reviewed this report, filed on behalf of Scudder Preservation Plus
     Fund, a series of Scudder Advisor Funds III, on Form N-CSR;

2.   Based on my knowledge and pursuant to 18 U.S.C. ss. 1350, the periodic
     report on Form N-CSR (the "Report") fully complies with the requirements of
     ss. 13 (a) or ss. 15 (d), as applicable, of the Securities Exchange Act of
     1934 and that the information contained in the Report fairly presents, in
     all material respects, the financial condition and results of operations of
     the Company.




May 28, 2004                                      /s/Richard T. Hale
                                                  Richard T. Hale
                                                  Chief Executive Officer
                                                  Scudder Preservation Plus
                                                  Fund, a series of Scudder
                                                  Advisor Funds III





                                                Deutsche Asset Management [LOGO]
                                             A Member of the Deutsche Bank Group







Chief Financial Officer
Section 906 Certification under Sarbanes Oxley Act





I, Charles A. Rizzo, certify that:

1.   I have reviewed this report, filed on behalf of Scudder Preservation Plus
     Fund, a series of Scudder Advisor Funds III, on Form N-CSR;

2.   Based on my knowledge and pursuant to 18 U.S.C. ss. 1350, the periodic
     report on Form N-CSR (the "Report") fully complies with the requirements of
     ss. 13 (a) or ss. 15 (d), as applicable, of the Securities Exchange Act of
     1934 and that the information contained in the Report fairly presents, in
     all material respects, the financial condition and results of operations of
     the Company.




May 28, 2004                                    /s/Charles A. Rizzo
                                                Charles A. Rizzo
                                                Chief Financial Officer
                                                Scudder Preservation Plus
                                                Fund, a series of Scudder
                                                Advisor Funds III